Hello, could someone help with differential equations?

Question

lifeisadangerousgame · Answer

This is the equation: $$2y'' - y' + \frac{ 1 }{ 2 }y = \frac{ 5 }{ 2 }x^{2}$$

Our answer is A = 5, B = -36, and C = 54

Is that right?

lifeisadangerousgame · Answer

Ugh the problem stopped. The rest of the original equation is 5/2x^2 - 8x + 11

zepdrix · Answer

A B and C? Whu? :d

lifeisadangerousgame · Answer

one sec

lifeisadangerousgame · Answer

y = ax^2 + bx + c; y' = 2ax + 6; y'' = 2a

zepdrix · Answer

Oh so you mean the form that the particular solution will take on,$$\large\rm y=ax^2+bx+c$$$$\large\rm y'=2ax+b$$$$\large\rm y''=2a$$Yes, that seems right.

Did you already find the homogeneous solution to your differential equation?$$\large\rm 2y''-y'+\frac12y=0$$

zepdrix · Answer

Oh noessss :O Where'd you go?
Confused?

zepdrix · Answer

:p

518nad · Answer

k go on and add homogenous soln to ur particular